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22334420040140 = 22513716831771423
BaseRepresentation
bin1010001010000001000110…
…01011000011100111001100
32221002011001010121120221102
411011000203023003213030
510411411343012241030
6115300142501122232
74463415514663505
oct505004313034714
987064033546842
1022334420040140
117130a7994578a
1226086880b9378
13c6018569a560
14572dc530bbac
1528ae821e2c45
hex1450232c39cc

22334420040140 has 96 divisors (see below), whose sum is σ = 51296584421376. Its totient is φ = 8118497882880.

The previous prime is 22334420040089. The next prime is 22334420040143. The reversal of 22334420040140 is 4104002443322.

It is a super-2 number, since 2×223344200401402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22334420040143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11722469 + ... + 13493891.

It is an arithmetic number, because the mean of its divisors is an integer number (534339421056).

Almost surely, 222334420040140 is an apocalyptic number.

22334420040140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22334420040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648292210688).

22334420040140 is an abundant number, since it is smaller than the sum of its proper divisors (28962164381236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22334420040140 is a wasteful number, since it uses less digits than its factorization.

22334420040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772199 (or 1772197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 22334420040140 its reverse (4104002443322), we get a palindrome (26438422483462).

The spelling of 22334420040140 in words is "twenty-two trillion, three hundred thirty-four billion, four hundred twenty million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 683 710 923 1366 1420 1846 2732 3415 3692 4615 6830 8879 9230 13660 17758 18460 35516 44395 48493 88790 96986 177580 193972 242465 484930 630409 969860 1260818 1771423 2521636 3152045 3542846 6304090 7085692 8857115 12608180 17714230 23028499 35428460 46056998 92113996 115142495 125771033 230284990 251542066 460569980 503084132 628855165 1209881909 1257710330 1635023429 2419763818 2515420660 3270046858 4839527636 6049409545 6540093716 8175117145 12098819090 15728464817 16350234290 24197638180 31456929634 32700468580 62913859268 78642324085 85901615539 157284648170 171803231078 314569296340 343606462156 429508077695 859016155390 1116721002007 1718032310780 2233442004014 4466884008028 5583605010035 11167210020070 22334420040140